Question:
Find the dimensions of \( \frac{B}{\mu_0} \)
Find the dimensions of \( \frac{B}{\mu_0} \)
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In problems involving physical constants like permeability, always derive the units first to ensure the correct dimensional analysis.
Updated On: Jan 14, 2026
- [AL]
- [AL\(^{-1}\)]
- [MAL]
- [MALT\(^{-1}\)]
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The Correct Option is D
Solution and Explanation
The expression \( \frac{B}{\mu_0} \) represents a quantity related to magnetic fields.
The dimensions of \( B \) (magnetic field) are [M T\(^{-2}\) A\(^{-1}\)], and the dimensions of permeability \( \mu_0 \) are [M L\(^{-1}\) T\(^{-2}\) A\(^{-2}\)].
Therefore, the dimensions of \( \frac{B}{\mu_0} \) are [M A L T\(^{-1}\)].
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